Answer:
83
Step-by-step explanation:
x = 1st number
x+2 is the next consecutive odd number
x+ x+2 = 164
Combine like terms
2x+2 = 164
Subtract 2 from each side
2x= 162
Divide by 2
2x/2 =162/2
x = 81
x+2 = 83
The largest number is 83
Answer:
"a period change"
Step-by-step explanation:
Simple ways of understanding transformations are:
<u>Phase shift: </u> 2 graphs would be shifted version of each other, all other things constant.
<u>Period change:</u> the 2 graphs would have different cycles, one would be compressed/stretched version of the other, all other things constant
<u>Amplitude Change:</u> The height/crest of the graphs would vary, that is the amplitude. All other things constant.
<u>Addition of Negative constant:</u> this would shift the 1 graph downwards with respect to the other graph, it is a vertical shift. All other things constant.
Now carefully looking at the 2 graphs given, we can see that the cycles are different. One is a more "relaxed", or "stretched" version of the other. This means, the period is changed.
2nd answer choice is right.
Answer:
the newer moat is 169 cm longer than the older one
Step-by-step explanation:
in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:
old castle:
dimension = 484cm by 386cm
perimeter = 484 + 386 = 870 cm
new castle:
dimension = 725cm by 314cm
perimeter = 725 + 314 = 1039 cm
difference = 1039 - 870 = 169 cm
The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.
15% of 40 = 6 so I’m guessing it would be 6
